338722898976 has 864 divisors, whose sum is σ = 1259553649536. Its totient is φ = 85349376000.

The previous prime is 338722898957. The next prime is 338722899037. The reversal of 338722898976 is 679898227833.

338722898976 is a `hidden beast` number, since 3 + 387 + 22 + 89 + 89 + 76 = 666.

It is a super-2 number, since 2×338722898976² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (438939648) is a multiple of the sum of its prime divisors (588).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 804567246 + ... + 804567666.

It is an arithmetic number, because the mean of its divisors is an integer number (1457816724).

Almost surely, 2^338722898976 is an apocalyptic number.

338722898976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338722898976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629776824768).

338722898976 is an abundant number, since it is smaller than the sum of its proper divisors (920830750560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338722898976 is a wasteful number, since it uses less digits than its factorization.

338722898976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 338722898976 in words is "three hundred thirty-eight billion, seven hundred twenty-two million, eight hundred ninety-eight thousand, nine hundred seventy-six".